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This is an example taken from my own personal statement centered around my work experience. "Witnessing a consultation between a physician and a young woman diagnosed with multiple sclerosis in the n...

x²+6x+5=(x+5)*(x+1)=0 therefore x+5=0 or x+1=0, hence x=-5 and x=-1

There are a number of schools of thought when it comes to answering the question of why the North won the Civil War. One of the more popular theories is that the North had a huge advantage when it came to...

Integrate y=x^2 which is 1/3 x^3 Subsitute the limits, (1/3 (3)^3)-(1/3 (1)^3) 27/3 - 1/3 = 26/3

As why is in the for y=uv where u and v are funtions of x, dy/dx=u'v+v'u (where ' implies the derivative) u=(3x+1)², v=cos(3x) therefore using the chain rule u'=23(3x+1)=18x+6 and v'=-...